Exact Charged 2-Body Motion and the Static Balance Condition in Lineal Gravity

Abstract

We find an exact solution to the charged 2-body problem in $(1+1)$ dimensional lineal gravity which provides the first example of a relativistic system that generalizes the Majumdar-Papapetrou condition for static balance.

latex,7 pages, 2 figures

References in corpus (1)

• Exact Relativistic Two-Body Motion in Lineal Gravity

Cited by in corpus (8)

• A class of exact solutions of Einstein's field equations in higher dimensional spacetimes, d$\ge 4$: Majumdar-Papapetrou solutions
• Chaos in an Exact Relativistic 3-body Self-Gravitating System
• 3-Body Dynamics in a (1+1) Dimensional Relativistic Self-Gravitating System
• Particles on a Circle in Canonical Lineal Gravity
• Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics
• One-Dimensional Relativistic Self-Gravitating Systems
• Newtonian approximation in (1 + 1) dimensions
• Antiscalar cosmological background